Influence Geometry Node "Point Distribute" density based on distance to empty
Answering my own question after figuring something out on my own.
If you add a vertex group (named whatever you want, but in my case &quot;proximity&quot;, and set the vert weight for all verts in the object to 1.0, you can add a &quot;Vertex Weight Proximity&quot; modifier BEFORE the &quot;Geometry Nodes&quot; modifier to use as a weight influence.
By setting the Proximity mode to Geometry, and setting the high value to 0 and your low value to whatever you want, you can influence the range of the effect.
You can edit the falloff by going into weight paint mode, and adjusting the minimum value of the Weight Proximity modifier and seeing the weight change on your object (it might have to be subdivided first a few times).
Controlling the density is as easy as adding the name of your vertex group to the &quot;Density Attribute&quot; section of the &quot;Point Distribute&quot; node in the Geometry Nodes, since Vertex Groups apply as attributes.